Doubly heavy tetraquark states in a mass splitting model

Abstract

Treating the $X(4140)$ as a compact $J^{PC}=1^{++}$ $cs\bar{c}\bar{s}$ state and using its mass as a reference scale, we systematically estimate the masses of doubly heavy tetraquark states $QQ\bar{q}\bar{q}$ where $Q=c,b$ and $q=u,d,s$. Their decay properties are studied with a simple rearrangement scheme. Based on our results, the lowest $I(J^P)=0(1^{+})$ $bb\bar{n}\bar{n}$ state is a stable tetraquark about 20 MeV below the ${\bar{B}}^{\ast }\bar{B}$ threshold. The mass and width of the low-mass $0(1^{+})$ $cc\bar{n}\bar{n}$ ($n=u,d$) tetraquark are compatible with the $T_{cc}(3875{)}^{+}$ observed by the LHCb Collaboration. The location of the lowest $0(0^{+})$ and $0(1^{+})$ $bc\bar{n}\bar{n}$ states are found to be close to the $\bar{B}D$ and ${\bar{B}}^{\ast }D$ thresholds, respectively. We hope that the predicted ratios between partial widths of different channels may be helpful to identify compact tetraquark states from future measurements.

18 pages,3 figures,11 tables

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Cited by in corpus (5)

• Triply heavy tetraquark states in a mass-splitting model
• Hunting for the prospective $T_{cc}$ family based on the diquark-antidiquark configuration
• Doubly-charmed pentaquark states in a mass splitting model
• Binding energy of the $T_{bb}$ tetraquark from lattice QCD with relativistic and nonrelativistic heavy-quark actions
• Assessing the validity of the Born-Oppenheimer approximation in potential models for doubly heavy hadrons